249553344 has 56 divisors (see below), whose sum is σ = 666739840. Its totient is φ = 82370304.

The previous prime is 249553313. The next prime is 249553351. The reversal of 249553344 is 443355942.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13467 + ... + 26085.

Almost surely, 2^249553344 is an apocalyptic number.

249553344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249553344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333369920).

249553344 is an abundant number, since it is smaller than the sum of its proper divisors (417186496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

249553344 is a wasteful number, since it uses less digits than its factorization.

249553344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12737 (or 12727 counting only the distinct ones).

The product of its digits is 259200, while the sum is 39.

The square root of 249553344 is about 15797.2574835001. The cubic root of 249553344 is about 629.5851337667.

The spelling of 249553344 in words is "two hundred forty-nine million, five hundred fifty-three thousand, three hundred forty-four".